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math.FA2024
Orthogonally additive polynomials on the bidual of Banach algebras
Aminallah Khosravi, Hamid Reza Ebrahimi Vishki, Ramin Faal
We say that a Banach algebra A has -orthogonally additive property (-OA property, for short) if every orthogonally additive k-homogeneous polynomial $P:\mathcal{A}\to \mathbb…
math.FA2021
The principle of local reflexivity and an extension of the identity
Ramin Faal, Hamid Reza Ebrahimi Vishki
By using the Principle of Local Reflexivity (PLR), we prove that for every two Banach spaces and there exists a suitable ultrafilter such that $ \mathcal{F}(E…
math.FA2016
More on the Arens regularity of B(X)
Ramin Faal, Hamid Reza Ebrahimi Vishki
We focus on a question raised by Daws [Arens regularity of the algebra of operators on a Banach space, Bull. Lond. Math. Soc. 36 (2004), 493-503] concerning the Arens regularity of…